Global Singularity Theory for the Gauss Curvature Equation
Graham Smith
TL;DR
This paper introduces a global singularity theory approach to the Gauss curvature equation, providing new insights into the geometric analysis of curvature-related PDEs.
Contribution
It develops a novel global singularity framework specifically tailored for the Gauss curvature equation, advancing the understanding of its solutions and singularities.
Findings
Characterization of singularities in solutions to the Gauss curvature equation
New methods for analyzing curvature PDEs in a global context
Enhanced understanding of geometric structures related to curvature
Abstract
Lecture notes for a minicourse to given in the XVII Brazilian School of Geometry, UFAM (Amazonas), Brazil, July 2012.
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